Question 1
If letters are coded as (position mod 7), 'ALPHABET' becomes?
Modular coding: A=1%7=1, L=12%7=5, P=16%7=2, H=8%7=1, A=1%7=1, B=2%7=2, E=5%7=5, T=20%7=6 → concatenated = 15211256
Modular Arithmetic Beginner-Intermediate Worksheet: Focus on common variations practice Modular Arithmetic BEGINNER INTERMEDIATE
Level up your Modular Arithmetic skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: modular arithmetic for competitive exams, how to solve modular arithmetic, modular arithmetic tricks.
What you'll learn in this worksheet:
- Understand the logic behind how to solve modular arithmetic
- Learn step-by-step approaches to common variations practice
- Bridge the gap between basic and advanced concepts
- Handle problems with increasing complexity
- Master modular arithmetic for competitive exams through focused practice
Your progress through Modular Arithmetic
Worksheet 4 of 10 (33% complete)
Question 2
If letters are coded as (position mod 5), 'LETTER' becomes?
Modular coding: L=12%5=2, E=5%5=0, T=20%5=0, T=20%5=0, E=5%5=0, R=18%5=3 → concatenated = 200003
Question 3
If letters are coded as (position mod 5), 'LETTER' becomes?
Modular coding: L=12%5=2, E=5%5=0, T=20%5=0, T=20%5=0, E=5%5=0, R=18%5=3 → concatenated = 200003
Question 4
If letters are coded as (position mod 7), 'LETTER' becomes?
Modular coding: L=12%7=5, E=5%7=5, T=20%7=6, T=20%7=6, E=5%7=5, R=18%7=4 → concatenated = 556654
Question 5
If letters are coded as (position mod 9), 'NUMBER' becomes?
Modular coding: N=14%9=5, U=21%9=3, M=13%9=4, B=2%9=2, E=5%9=5, R=18%9=0 → concatenated = 534250
Question 6
If letters are coded as (position mod 7), 'CODING' becomes?
Modular coding: C=3%7=3, O=15%7=1, D=4%7=4, I=9%7=2, N=14%7=0, G=7%7=0 → concatenated = 314200
Question 7
If letters are coded as (position mod 10), 'HELLO' becomes?
Modular coding: H=8%10=8, E=5%10=5, L=12%10=2, L=12%10=2, O=15%10=5 → concatenated = 85225
Question 8
If letters are coded as (position mod 5), 'ALPHABET' becomes?
Modular coding: A=1%5=1, L=12%5=2, P=16%5=1, H=8%5=3, A=1%5=1, B=2%5=2, E=5%5=0, T=20%5=0 → concatenated = 12131200
Question 9
If letters are coded as (position mod 9), 'NUMBER' becomes?
Modular coding: N=14%9=5, U=21%9=3, M=13%9=4, B=2%9=2, E=5%9=5, R=18%9=0 → concatenated = 534250
Question 10
If letters are coded as (position mod 9), 'LETTER' becomes?
Modular coding: L=12%9=3, E=5%9=5, T=20%9=2, T=20%9=2, E=5%9=5, R=18%9=0 → concatenated = 352250
Question 11
If letters are coded as (position mod 9), 'ALPHABET' becomes?
Modular coding: A=1%9=1, L=12%9=3, P=16%9=7, H=8%9=8, A=1%9=1, B=2%9=2, E=5%9=5, T=20%9=2 → concatenated = 13781252
Question 12
If letters are coded as (position mod 9), 'WORLD' becomes?
Modular coding: W=23%9=5, O=15%9=6, R=18%9=0, L=12%9=3, D=4%9=4 → concatenated = 56034
Question 13
If letters are coded as (position mod 9), 'CODING' becomes?
Modular coding: C=3%9=3, O=15%9=6, D=4%9=4, I=9%9=0, N=14%9=5, G=7%9=7 → concatenated = 364057
Question 14
If letters are coded as (position mod 8), 'CODING' becomes?
Modular coding: C=3%8=3, O=15%8=7, D=4%8=4, I=9%8=1, N=14%8=6, G=7%8=7 → concatenated = 374167
Question 15
If letters are coded as (position mod 7), 'HELLO' becomes?
Modular coding: H=8%7=1, E=5%7=5, L=12%7=5, L=12%7=5, O=15%7=1 → concatenated = 15551
Question 16
If letters are coded as (position mod 8), 'ALPHABET' becomes?
Modular coding: A=1%8=1, L=12%8=4, P=16%8=0, H=8%8=0, A=1%8=1, B=2%8=2, E=5%8=5, T=20%8=4 → concatenated = 14001254
Question 17
If letters are coded as (position mod 9), 'WORLD' becomes?
Modular coding: W=23%9=5, O=15%9=6, R=18%9=0, L=12%9=3, D=4%9=4 → concatenated = 56034
Question 18
If letters are coded as (position mod 8), 'NUMBER' becomes?
Modular coding: N=14%8=6, U=21%8=5, M=13%8=5, B=2%8=2, E=5%8=5, R=18%8=2 → concatenated = 655252
Question 19
If letters are coded as (position mod 8), 'HELLO' becomes?
Modular coding: H=8%8=0, E=5%8=5, L=12%8=4, L=12%8=4, O=15%8=7 → concatenated = 05447
Question 20
If letters are coded as (position mod 8), 'HELLO' becomes?
Modular coding: H=8%8=0, E=5%8=5, L=12%8=4, L=12%8=4, O=15%8=7 → concatenated = 05447
📝 Continue your Modular Arithmetic practice. Worksheet 4 focuses on common variations practice.